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Finding the Third Proportional to 156,112 and 331,668

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Solution

The third proportional to 156,112 and 331,668 is: 704,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,112 : 331,668 = 331,668 : x
  2. Step 2: Convert to fraction form
    156,112/331,668 = 331,668/x
  3. Step 3: Cross multiply
    156,112x = 331,668 × 331,668
  4. Step 4: Simplify right side
    156,112x = 110,003,662,224
  5. Step 5: Solve for x
    x = 110,003,662,224/156,112
  6. Step 6: Final answer
    x = 704,645.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.